报告题目：Parabolic Systems of Aggregation Formation in Bacterial Colonies
报 告 人：冯兆生 教授 德克萨斯大学 RGV 分校
报告时间：2024年1月3日 14：00-15：00
报告地点：数学楼第二报告厅
校内联系人：韩月才 hanyc@jlu.edu.cn
报告摘要：The goal of this talk is to study a fourth-order nonlinear parabolic system with dispersion for describing bacterial aggregation. It shows that unlike the model without dispersion, a bacterial cluster can move, which allows us to consider dispersion as some kind of control for bacterial colony. Analytical solution of traveling wave is found by taking into account the dispersion coefficient. Numerically, we demonstrate that the initial concentration of bacteria in the form of a random distribution over time transforms into a periodic wave, followed by a transition to a stationary solitary wave without dispersion.
报告人简介：冯兆生，美国德克萨斯大学 RGV 分校 Carlos and Stephanie Manrique de Lara 讲席教授。主要研究方向是非线性分析，动力系统，数学物理问题，数值计算与模拟等。曾于2015和2021年两次获得德克萨斯大学年度杰出科研成就奖。现任国际知名学术期刊CNSNS的共同主编和EJDE的执行主编，和多个国际SCI杂志的编委及AIMS应用数学系列丛书的编委。
